(X-7)2-4=(x+1)2

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Solution for (X-7)2-4=(x+1)2 equation: 


Simplifying
(X + -7) * 2 + -4 = (x + 1) * 2

Reorder the terms:
(-7 + X) * 2 + -4 = (x + 1) * 2

Reorder the terms for easier multiplication:
2(-7 + X) + -4 = (x + 1) * 2
(-7 * 2 + X * 2) + -4 = (x + 1) * 2
(-14 + 2X) + -4 = (x + 1) * 2

Reorder the terms:
-14 + -4 + 2X = (x + 1) * 2

Combine like terms: -14 + -4 = -18
-18 + 2X = (x + 1) * 2

Reorder the terms:
-18 + 2X = (1 + x) * 2

Reorder the terms for easier multiplication:
-18 + 2X = 2(1 + x)
-18 + 2X = (1 * 2 + x * 2)
-18 + 2X = (2 + 2x)

Solving
-18 + 2X = 2 + 2x

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '18' to each side of the equation.
-18 + 18 + 2X = 2 + 18 + 2x

Combine like terms: -18 + 18 = 0
0 + 2X = 2 + 18 + 2x
2X = 2 + 18 + 2x

Combine like terms: 2 + 18 = 20
2X = 20 + 2x

Divide each side by '2'.
X = 10 + x

Simplifying
X = 10 + x

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